In a large college course, the following results were recorded: Average first score 50, SD
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Question:
In a large college course, the following results were recorded:
Average first score ⇡ 50, SD ⇡ 25.
Average second score ⇡ 55, SD ⇡ 15.
Correlation coecient r = 3 . 5
(a) (5pts) Pick a student in a class at random. What is your best guess for this student’s first score? Where should the scores be for about 68% of the class?
(b) (10pts) Predict the second score of a student whose first score was 75.
(c) (10pts) Among those students who scored around 75 on the first, which per- cent is expected to score more than 70 on the second?
Hint: recall that the RMS error can be computed as p1 r2 · SDY .
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